Question Number 6495 by sanusihammed last updated on 29/Jun/16 $${A}\:{refrigerator}\:{is}\:{rated}\:\mathrm{20}\:{watts}\:{of}\:{electricity}\:{which} \\ $$$${cost}\:\mathrm{5}{k}\:{per}\:{kwh}\:,\:{what}\:{is}\:{the}\:{cost}\:{of}\:{operation}\:{for}\:\mathrm{20}\:{days}. \\ $$ Answered by sandy_suhendra last updated on 30/Jun/16 $$\mathrm{20}\:{days}×\mathrm{24}\:{hour}×\mathrm{20}\:{watts}=\mathrm{9600}\:{wh}=\mathrm{9}.\mathrm{6}{kwh} \\ $$$${it}'{s}\:{cost}=\mathrm{9}.\mathrm{6}×\mathrm{5}{k}=\mathrm{48}{k} \\…
Question Number 72026 by mathmax by abdo last updated on 23/Oct/19 $${prove}\:{that}\:{x}^{\mathrm{4}} \:{divide}\:\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{{n}} −{nx}^{\mathrm{2}} −\mathrm{1}\:\:{without}\:{use}\:\:{binomial} \\ $$$${formula}. \\ $$ Commented by mathmax by abdo…
Question Number 6491 by Temp last updated on 29/Jun/16 $$\mathrm{Is}\:\mathrm{it}\:\mathrm{possible}\:\mathrm{such}\:\mathrm{that}\:\mathrm{two}\:\mathrm{trancendental} \\ $$$$\mathrm{numbers}\:\mathrm{add}\:\mathrm{or}\:\mathrm{multiply}\:\mathrm{to}\:\mathrm{give}\:\mathrm{a}\:\mathrm{whole}\:\mathrm{number}? \\ $$ Commented by prakash jain last updated on 29/Jun/16 $$\pi\:\mathrm{is}\:\mathrm{transcendental}. \\ $$$$\frac{\mathrm{1}}{\pi}\:\mathrm{is}\:\mathrm{also}\:\mathrm{transcendental}.…
Question Number 72027 by mathmax by abdo last updated on 23/Oct/19 $${if}\:{a}+{b}+{c}\:=\mathrm{3}\:\:{and}\:{a}^{\mathrm{3}} \:+{b}^{\mathrm{3}} \:+{c}^{\mathrm{3}} =\mathrm{27}\:{find}\:{a}^{\mathrm{2}} \:+{b}^{\mathrm{2}} \:+{c}^{\mathrm{2}} \\ $$ Commented by Rasheed.Sindhi last updated on…
Question Number 137563 by liberty last updated on 04/Apr/21 $${let}\:\frac{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }{{x}^{\mathrm{2}} −{y}^{\mathrm{2}} }+\frac{{x}^{\mathrm{2}} −{y}^{\mathrm{2}} }{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }={k} \\ $$$${find}\:{the}\:{value}\:{of}\:\frac{{x}^{\mathrm{8}} +{y}^{\mathrm{8}} }{{x}^{\mathrm{8}} −{y}^{\mathrm{8}} }+\frac{{x}^{\mathrm{8}} −{y}^{\mathrm{8}}…
Question Number 72024 by mathmax by abdo last updated on 23/Oct/19 $${calculate}\:{lim}_{{n}\rightarrow+\infty} \:\:\:\int_{\mathrm{0}} ^{{n}} \left(\mathrm{1}−\frac{{x}}{{n}}\right)^{{n}} {ln}\left(\mathrm{1}+{x}\right){dx} \\ $$ Commented by mathmax by abdo last updated…
Question Number 72025 by mathmax by abdo last updated on 23/Oct/19 $${calculate}\:\:\int_{\mathrm{0}} ^{\infty} \:{e}^{−\alpha{x}} {ln}\left({x}\right){dx}\:\:{with}\:\alpha>\mathrm{0} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 6488 by Rasheed Soomro last updated on 29/Jun/16 Commented by Rasheed Soomro last updated on 29/Jun/16 $${Centres}\:{of}\:{the}\:{arcs}\:\:{are}\:\mathrm{A},\mathrm{B}\:{and}\:\mathrm{C}. \\ $$$${Also}\:{determine}\:{the}\:{measures}\:{of}\:{the}\:{sides} \\ $$$${of}\:\bigtriangleup\mathrm{DFH}. \\ $$$${May}\:{be}\:{treated}\:{as}\:{separate}\:{question}\left(\:{labled}\right.…
Question Number 6487 by Temp last updated on 29/Jun/16 $$\mathrm{Prove}\:\mathrm{and}\:\mathrm{show}\:\mathrm{why}: \\ $$$$\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}{H}_{{k}} =\left({n}+\mathrm{1}\right)\left({H}_{{n}+\mathrm{1}} −\mathrm{1}\right) \\ $$$$\mathrm{Where}: \\ $$$${H}_{{k}} =\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}+…+\frac{\mathrm{1}}{{k}} \\ $$ Commented by…
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